Description: Characterization Problems Associated with the Exponential Distribution Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): M. Stein, I. Olkin, T. A. Azlarov, N. A. Volodin Format: Paperback Publisher: Springer-Verlag New York Inc., United States Imprint: Springer-Verlag New York Inc. ISBN-13: 9781461293743, 978-1461293743 Synopsis Problems of calculating the reliability of instruments and systems and the development of measures to increase efficiency and reduce operational costs confronted physicists and mathe maticians at the end of the '40's and the beginning of the '50's in connection with the unrelia bility of electro-vacuum instruments used in aviation. Since then steadily increasing demands for the accuracy, reliability and complexity required in electronic equipment have served as a stimulus in the development of the theory of reliability. From 1950 to 1955 Epstein and Sobel [67,68] and Davis [62], in an analysis of statistical data of the operating time of an instrument up to failure, showed that the distribution is exponential in many cases. Consequently, the ex ponential distribution became basic to research associated with experiments on life expectancy. Further research has shown that there are a whole series of problems in reliability theory for which the exponential distribution is inapplicable. However, it can practically always be used as a first approximation. The ease of computational work due to the nice properties of the exponential distribution (for example, the lack of memory property, see Section 1) is also a reason for its frequent use. AB a rule, data on the behavior of the failure rate function are used to test the hypothesis that a given distribution belongs to the class of exponential distributions, and order statistics are used to estimate the parameter of the exponential distribution.
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Book Title: Characterization Problems Associated with the Exponential Dist...
Number of Pages: 137 Pages
Language: English
Publication Name: Characterization Problems Associated with the Exponential Distribution
Publisher: Springer-Verlag New York Inc.
Publication Year: 2011
Subject: Mathematics
Item Height: 235 mm
Item Weight: 236 g
Type: Textbook
Author: T. A. Azlarov, N. A. Volodin
Item Width: 155 mm
Format: Paperback
